Splitting theorems on complete Riemannian manifolds with nonnegative Ricci curvature
DOI10.3934/dcds.2020347zbMath1467.35106arXiv2001.02468OpenAlexW3093268542MaRDI QIDQ1995579
Publication date: 24 February 2021
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2001.02468
semilinear Poisson equationcomplete Riemannian manifold with nonnegative Ricci curvatureModica's estimate
Elliptic equations on manifolds, general theory (58J05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Global Riemannian geometry, including pinching (53C20) Local Riemannian geometry (53B20) Semilinear elliptic equations (35J61)
Cites Work
- Unnamed Item
- The Dirichlet problem at infinity for manifolds of negative curvature
- An elementary proof of the Cheeger-Gromoll splitting theorem
- Gradient bounds and Liouville's type theorems for the Poisson equation on complete Riemannian manifolds
- A pointwise gradient estimate in possibly unbounded domains with nonnegative mean curvature
- A pointwise gradient bound for elliptic equations on compact manifolds with nonnegative Ricci curvature
- Rigidity of the 1-Bakry-Émery inequality and sets of finite Perimeter in RCD spaces
- Vanishing and finiteness results in geometric analysis. A generalization of the Bochner technique
- Stable solutions of elliptic equations on Riemannian manifolds with Euclidean coverings
- Bernstein and De Giorgi type problems: new results via a geometric approach
- A gradient bound and a liouville theorem for nonlinear poisson equations
- Harmonic functions on complete riemannian manifolds
- A gradient bound for entire solutions of quasi‐linear equations and its consequences
- Riemannian Geometry
- Splitting Theorems, Symmetry Results and Overdetermined Problems for Riemannian Manifolds
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